Find the z-score for each score in the population. Round each of your z-scores to two decimal places. Then, transform the original population into a new population of N = 4 scores with a u = 1000 and a o 200. Use the rounded z-scores (to two decimal places) to calculate the new scores. Complete the following chart using the values that you found: Z Xoriginal population Xnew population *2 decimal places* 66 84 42 68
Find the z-score for each score in the population. Round each of your z-scores to two decimal places. Then, transform the original population into a new population of N = 4 scores with a u = 1000 and a o 200. Use the rounded z-scores (to two decimal places) to calculate the new scores. Complete the following chart using the values that you found: Z Xoriginal population Xnew population *2 decimal places* 66 84 42 68
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
What is the z score for each score? Round to two decimal places.
Then transform the original population into a new population of N=4 scores with a u=1000 and o=200. Use to calculate new scores!
![**Instructions for Calculating and Transforming Z-Scores**
**Task:**
1. **Find the z-score** for each score in the original population. Round each of your z-scores to two decimal places.
2. **Transform the original population** into a new population composed of N = 4 scores with a mean (μ) of 1000 and a standard deviation (σ) of 200. Use the rounded z-scores (to two decimal places) to calculate the new scores.
**Chart Completion:**
Complete the following chart using the values that you found:
| \( X_{\text{original population}} \) | \( z \) (2 decimal places) | \( X_{\text{new population}} \) |
|--------------------------------------|--------------------------|-------------------------------|
| 66 | | |
| 84 | | |
| 42 | | |
| 68 | | |
**Guidelines:**
- Calculate each z-score using the formula:
\[
z = \frac{(X - \mu)}{\sigma}
\]
- After obtaining all the z-scores, convert back to the new population scores using the transformation:
\[
X_{\text{new}} = z \cdot \sigma_{\text{new}} + \mu_{\text{new}}
\]
- Ensure all calculations are accurate and rounded correctly before inputting into the chart.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e705188-2ff7-4803-b257-1b299f64c9eb%2F8d4540ec-34af-4223-933b-e1c925dcd422%2F6nbqaaf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Instructions for Calculating and Transforming Z-Scores**
**Task:**
1. **Find the z-score** for each score in the original population. Round each of your z-scores to two decimal places.
2. **Transform the original population** into a new population composed of N = 4 scores with a mean (μ) of 1000 and a standard deviation (σ) of 200. Use the rounded z-scores (to two decimal places) to calculate the new scores.
**Chart Completion:**
Complete the following chart using the values that you found:
| \( X_{\text{original population}} \) | \( z \) (2 decimal places) | \( X_{\text{new population}} \) |
|--------------------------------------|--------------------------|-------------------------------|
| 66 | | |
| 84 | | |
| 42 | | |
| 68 | | |
**Guidelines:**
- Calculate each z-score using the formula:
\[
z = \frac{(X - \mu)}{\sigma}
\]
- After obtaining all the z-scores, convert back to the new population scores using the transformation:
\[
X_{\text{new}} = z \cdot \sigma_{\text{new}} + \mu_{\text{new}}
\]
- Ensure all calculations are accurate and rounded correctly before inputting into the chart.
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